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Finding the Fourth Proportional to 493.86, 681.31 and 283.97

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Solution

The fourth proportional to 493.86, 681.31 and 283.97 is: 391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.86 : 681.31 = 283.97 : x
  2. Step 2: Convert to fraction form
    493.86/681.31 = 283.97/x
  3. Step 3: Cross multiply
    493.86x = 681.31 × 283.97
  4. Step 4: Simplify right side
    493.86x = 193,473.66
  5. Step 5: Solve for x
    x = 193,473.66/493.86
  6. Step 6: Final answer
    x = 391.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.